中国舰船研究2017，Vol.12Issue(4)：95-101,7.DOI:10.3969/j.issn.1673-3185.2017.04.015
任意边界及耦合条件下的多跨梁结构振动特性
Vibration analysis of multi-span beam system under arbitrary boundary and coupling conditions
摘要
Abstract
In order to overcome the difficulties of studying the vibration analysis model of a multi-span beam system under various boundary and coupling conditions, this paper constructs a free vibration analysis model of a multi-span beam system on the basis of the Bernoulli-Euler beam theory. The vibration characteristics of a multi-span beam system under arbitrary boundary supports and elastic coupling conditions are investigated using the current analysis model. Unlike most existing techniques, the beam displacement function is generally sought as an improved Fourier cosine series, and four sine terms are introduced to overcome all the relevant discontinuities or jumps of elastic boundary conditions. On this basis, the unknown series coefficients of the displacement function are treated as the generalized coordinates and solved using the Rayleigh-Ritz method, and the vibration problem of multi-span bean systems is converted into a standard eigenvalue problem concerning the unknown displacement expansion coefficient. By comparing the free vibration characteristics of the proposed method with those of the FEA method, the efficiency and accuracy of the present method are validated, providing a reliable and theoretical basis for multi-span beam system structure in engineering applications.关键词
改进傅里叶级数/任意边界条件/Rayleigh-Ritz法/多跨梁/结构振动Key words
improved Fourier series/arbitrary boundary conditions/Rayleigh-Ritz method/multi-span beam/structural vibration分类
交通工程引用本文复制引用
郑超凡,吴晓光,张成..任意边界及耦合条件下的多跨梁结构振动特性[J].中国舰船研究,2017,12(4):95-101,7.基金项目
国家自然科学基金资助项目(61503354) （61503354）
